Finding the Third Proportional to 17,561 and 38,401

Step by Step Solution

1. Step 1: Write the proportion equation
   17,561 : 38,401 = 38,401 : x
2. Step 2: Convert to fraction form
   17,561/38,401 = 38,401/x
3. Step 3: Cross multiply
   17,561x = 38,401 × 38,401
4. Step 4: Simplify right side
   17,561x = 1,474,636,801
5. Step 5: Solve for x
   x = 1,474,636,801/17,561
6. Step 6: Final answer
   x = 83,972.26